(a) The normal family that approximates a Poisson can also be parameterized as n(e,e), where - <...

Question:

(a) The normal family that approximates a Poisson can also be parameterized as n(eθ,eθ), where -∞ < 9 < ∞. Sketch a graph of the parameter space, and compare with the approximation in Exercise 3.34(a).
(b) Suppose that X ~ gamma(α, β) and we assume that EX = μ. Sketch a graph of the parameter space.
(c) Suppose that Xi ~ gamma(αi, βi), i = 1, 2,..., n, and we assume that EXi, = μ. Describe the parameter space (α1,..., αn, β1, . . . . . ., βn).